# Video questions and answers on rate, ratio, proportion and percentages

Rate, ratio, proportion and percentages questions and answers.

In this session, many questions on the form 1 chapter of rate, ratio, proportion and percentages will be solved. The answers are well elaborated and are easy to understand.

Lessons (**16**) * SHARE*

- 1.
Three Jua kali artisans Nyundo, Karai and Moto,invested sh.1200,sh.1800 and sh.3000 respectively in their business.They agreed that 34% of the profits would be divided equally among them, and the rest in the ratio of their investments.How much did Ngundo receive at the end of the year when the total profit realized was sh.15,000?

5m 19s - 2.
Two business partners Nzau and Masese contributed sh. 112,000 and sh. 128,000 respectively, to start a business. They agreed to share their profits as follows; 30% to be shared equally 30% to be shared in the ratio of their contributions 40% to be retained for running of the business. If their profit for the year was 86400, calculate
i)the amount received by each partner

7m 1s - 3.
Kamau Chelule and Wekesa are three casuals in Jua kali enterprise. Chelule earns twice as much as Kamau and wekesa earns 70 more than Chelule. If their total earnings is sh. 1120 express the ratio of their earnings,Kamau:Chelule:Wekesa

4m 29s - 4.
A Pool of water with surface area of 0.6ha has a uniform depth of 3m.A pipe drains the pool at the rate of 200 litres per second .How many hours does it take to empty the pool?

5m 28s - 5.
Three business partners Kioko,Njau and Osiako are to share sh.12,000 in the ratio 5:6:x respectively. If Kioko received sh.4000, determine the value of x

4m 28s - 6.
Water flows in a tap, at a rate of #27cm^3# per second,into rectangular container of length 60cm,breadth 30cm and height 40cm.If at 6:00 p.m the container was half full,what would the height be at 6:04 p.m?

5m 26s - 7.
A rectangular tank of base 2.4m by 2.8 m and a height of 3m contains 3,600 litres of water initially. Water flows into the tank at the rate of 0.5 litres per second. Calculate the time in hours and minutes,required to fill the tank.

5m 47s - 8.
Akinyi,Bundi,Cura and Diba invested some money in a business in the ratio of 7:9:10:14 respectively.The business realized a profit of sh. 46800.They shared 12% of the profit equally and the remainder in the ratio of their contributions. Calculate the total amount of money received by Diba.

5m 39s - 9.
Atieno and Kamau started a business by contributing sh.25,000 and sh. 20,000 respectively. At the end of the year, they realized a profit of sh.81,000.The profit was allocated to development, dividends and reserves in the ratio 4:5:6 respectively. The dividends were then shared in the ratio of their contributions. Calculate the dividend paid to Atieno.

4m 54s - 10.
Three business partners Atieno,Wambui and Mueni contributed sh50,000,sh40,000 and sh 25,000 respectively to start a business. After sometime, they realized a profit which they decided to share in the ratio of their contributions. If Mueni's share was sh 10,000, by how much was Atieno's share more than Wambui's

3m 21s - 11.
In a fundraising committee of 45 people, the ratio of men to women is 7:2.Find the number of women required to join the existing committee so that the ratio of men to women is changed to 5:4

4m 14s - 12.
Abdi sold a radio costing sh 3,800 at a profit of 20%. He earned a commission of 22.5% on the profit. find the amount he earned.

1m 43s - 13.
A farmer feeds every two cows on 480 kgs of hay for 4 days. The farmer has 20,160 kgs of hay which is just enough to feed his cows for 6 weeks. Find the number of cows in the farm.

4m 6s - 14.
A farmer had 540 bags of maize each having a mass of 112kg.After drying the maize,the mass decreased in the ratio 15:16 a) Calculate the total mass lost after the maize was dried.
b) A trader bought and repacked the dried maize in 90 kg bags. He transported the maize in a lorry which could carry a maximum of 120 bags per trip. i) Determine the number of trips the lorry made.
..

9m 24s - 15.
Three partners Amina,Bosire and Karuri contributed a total of sh 4,800,000 in the ratio 4:5:7 to buy 8 hectares of land. The partners set aside #1/3# of the land for social amenities and sub-divided the rest into 15m by 25m plots.
a) Find i)the amount of money contributed by Karuri
ii) the number of plots that were obtained
b) The partners sold the plots at sh 50,000 each,

10m 8s - 16.
Three business partners Abila, Bwire and Chirchir contributed sh 120000,sh 180000 and sh 240000 respectively, to boost their businesses. They agreed to put 20% of the profit accrued back into business and to use 35% of the profits for running the business (official operations).The remainder was to be shared among the business partners in the ratio of their contribution. At the end
of the year, a

8m 59s

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